5z^2+4=49

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Solution for 5z^2+4=49 equation: 


Simplifying
5z2 + 4 = 49

Reorder the terms:
4 + 5z2 = 49

Solving
4 + 5z2 = 49

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + 5z2 = 49 + -4

Combine like terms: 4 + -4 = 0
0 + 5z2 = 49 + -4
5z2 = 49 + -4

Combine like terms: 49 + -4 = 45
5z2 = 45

Divide each side by '5'.
z2 = 9

Simplifying
z2 = 9

Take the square root of each side:
z = {-3, 3}

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